Question

calcule 2√27+4√12-3√75

Answer 1

$2 \sqrt{27} +4 \sqrt{12} -3 \sqrt{75} \\ =2 \sqrt{9(3)} +4 \sqrt{4(3)} -3 \sqrt{25(3)} \\ =2 \sqrt{3^2(3)} +4 \sqrt{2^2(3)} -3 \sqrt{5^2(3)} \\ = 6\sqrt{3} +8 \sqrt{3} -15 \sqrt{3} \\ =- \sqrt{3}$